Construction of 3-Hilbert class field of certain imaginary quadratic fields

DOI10.3792/pjaa.86.18zbMath1195.11148OpenAlexW2083385807MaRDI QIDQ963131

Jangheon Oh

Publication date: 8 April 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.18

zbMATH Keywords

Kummer theoryclass field theorycyclotomic descent

Mathematics Subject Classification ID

Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items

ON THE ANTICYCLOTOMIC ℤ_p-EXTENSION OF AN IMAGINARY QUADRATIC FIELD, CONSTRUCTION OF THE FIRST LAYER OF ANTI-CYCLOTOMIC EXTENSION, Construction of the Hilbert class field of some imaginary quadratic fields, LIFTING OF THE UNRAMIFIED IWASAWA MODULE

Cites Work

• Unnamed Item
• On the first layer of anti-cyclotomic \(\mathbb Z_{p}\)-extension of imaginary quadratic fields
• A NOTE ON THE FIRST LAYERS OF ℤ_p-EXTENSIONS
• Advanced Topics in Computional Number Theory